Answer:
15%=0.15
1÷7=0.14
1÷5=0.2
1÷4=0.25
1÷3=0.33
Step-by-step explanation:
1/7
Good evening
The absolute value has the following property:

Apllying:
The average temperature range is between 45 and 65 degrees.
Answer:
You can not divide by zero.
The inequality is equivalent to - 20.2 > 0 which is false.
Step-by-step explanation:
We can not divide both sides by zero, because if we divide both sides by zero, then the inequality becomes

⇒ - ∞ > y, which is not possible.
Again, the given inequality is - 20.2 > 0 × y.
We have to multiply y with zero and a product of zero with any term is also zero.
Hence, the inequality becomes - 20.2 > 0.
Therefore, the inequality is equivalent to - 20.2 > 0 which is false. (Answer)
(a) See the attached sketch. Each shell will have a radius <em>y</em> chosen from the interval [2, 4], a height of <em>x</em> = 2/<em>y</em>, and thickness ∆<em>y</em>. For infinitely many shells, we have ∆<em>y</em> converging to 0, and each super-thin shell contributes an infinitesimal volume of
2<em>π</em> (radius)² (height) = 4<em>πy</em>
Then the volume of the solid is obtained by integrating over [2, 4]:

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - <em>x</em> (this is the distance between a given <em>x</em> value in the orange shaded region to the axis of revolution) and a height of 8 - <em>x</em> ³ (and this is the distance between the line <em>y</em> = 8 and the curve <em>y</em> = <em>x</em> ³). Then each shell has a volume of
2<em>π</em> (9 - <em>x</em>)² (8 - <em>x</em> ³) = 2<em>π</em> (648 - 144<em>x</em> + 8<em>x</em> ² - 81<em>x</em> ³ + 18<em>x</em> ⁴ - <em>x</em> ⁵)
so that the overall volume of the solid would be

I leave the details of integrating to you.
Answer:
The answer is below.
Step-by-step explanation: